1.
Suppose you have the graph of
y
=
x
2
and the graph of
y
= –
x
2
. Which statement is
not
true about the two graphs?
A.
Both parabolas open downward.
B.
The parabolas have the same vertex.
C.
The parabolas have the same shape and width.
D.
The parabolas have the same axis of symmetry.
Hint
2.
Write an equation of the parabola that is the graph of
y
=
x
2
– 4 moved up 3 units.
A.
y
= (
x
– 1)
2
+ 3
B.
y
=
x
2
– 7
C.
y
=
x
2
– 1
D.
y
=
x
2
+ 7
Hint
3.
The graph of
y
= 2
x
2
has its vertex at (0, 0). The parabola is shifted so that the new vertex is at (–2, 3). What is an equation for this new parabola?
A.
y
= 2(
x
– 2)
2
– 3
B.
y
= 2(
x
+ 2)
2
+ 3
C.
y
= 2(
x
+ 2)
2
– 3
D.
y
= 2(
x
– 2)
2
+ 3
Hint
4.
Suppose you have the graph of
y
=
x
2
and the graph of
y
=
x
2
+ 5. Which statement is
not
true about the two graphs?
A.
Both parabolas open upward.
B.
The parabolas have the same shape and width.
C.
The parabolas have the same axis of symmetry.
D.
The parabolas have the same vertex.
Hint
5.
Write an equation of the parabola that is the graph of
y
= 4
x
2
+ 1 moved left 2 units.
A.
y
= 4
x
2
+ 16
x
+ 17
B.
y
= 4
x
2
+ 17
C.
y
= 4
x
2
– 15
D.
y
= 4
x
2
– 16
x
+ 17
Hint